<u>Gay lussas law:</u>
Gay-Lussac law states that the pressure for a given gas’ mass changes directly to an absolute gas temperature, provided that the volume held to be constant. The mathematical expressions of Gay-Lussac law also correspond to those of Charles Law:

This gas law is important because it shows that an increase in gas temperature increases the pressure proportionally (if the volume does not change). Similarly, as the temperature decreases, the pressure decreases proportionally.
a) dG0= 1.573 kJ/mol
b) dG = -2.614 kJ/mol
Explanation:
a)
Write down the values given in the question,
Glucose-6-phosphate was mixed with the enzyme under standard conditions and the reactions was allowed to come to equilibrium the keq is 0.50
To calculate the delta value ,
dG = -RT ln (Keq)
Putting values:
dG0 = -8.314*273*ln(0.5)
dG0= 1.573 kJ/mol
b)
Glucose-6-phosphate is 6.6 uM and the fructose-6-phosphate is 1.3 uM. If the keq' is 0.50.
To calculate the delta value,
dG = dG0 + RT*ln(Q)
Putting values:
dG = 1573 + 8.314*310*ln(1.3/6.6)
Solving we get:
dG = -2.614 kJ/mol
Answer:about 10,000 years b maybe
Explanation:Strontium-90 and cesium-137 have half-lives of about 30 years (half the radioactivity will decay in 30 years). Plutonium-239 has a half-life of 24,000 years. High-level wastes are hazardous because they produce fatal radiation doses during short periods of direct exposure.
Paine is referring to the difficulties facing the colonists to stand up against the British Empire against imposed taxes and foreign rule. He says "<span>Tyranny, like hell, is not easily conquered; yet we have this consolation with us, that the harder the conflict, the more glorious the triumph". This emphasises his point that the fight is against tyranny, although the battle may be difficult.</span>